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Sensitivity of normality tests to non-normal data


Ahad, Nor Aishah and Teh, Sin Yin and Othman, Abdul Rahman and Yaakob, Che Rohani (2011) Sensitivity of normality tests to non-normal data. Sains Malaysiana, 40 (6). pp. 637-641. ISSN 0126-6039

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Abstract

In many statistical analyses, data need to be approximately normal or normally distributed.The kalmogorove-sminnov test.Anderson-darling test.Cramer-von mises test, and shapiro-wilk test are four statistical test of normality mentioned. this study determined the sample sizes at which the tests would indicate that the data is not normal.The performance of the test was evaluated under various spectrums of non-normal distributions and different sample sizes.The results showed that the shapiro-wilk test is the best normality test because this test rejects the null hypothesis of normality test at the smallest sample size compared to the other tests, for all levels of skewness and kurtosis of these distributions.

Item Type: Article
Uncontrolled Keywords: Monte-Carlo simulation: sample size: sensitivity: tests of normality
Subjects: Q Science > QA Mathematics
Divisions: College of Arts and Sciences
Depositing User: Mrs. Nor Aishah Ahad
Date Deposited: 22 May 2013 08:37
Last Modified: 22 May 2013 08:37
URI: http://repo.uum.edu.my/id/eprint/7435

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